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Example 1
If $3v=h+9$ and $w=\dfrac{1}{3}h + 5$, then $w=$
- $v+2$
- $v-2$
- $3v+5$
- $2v-1$
- $0$
Solution
- From the 5 possible answers, we need to express $w$ in terms of $v$. We first express $h$ in terms of $v$ by solving $3v=h+9$ for $h$.
$3v=h+9$ gives $h=3v-9$
- We now substitute $h$ by 3v-9 in the second equation $w=\dfrac{1}{3}h + 5$ as follows
$w=\dfrac{1}{3}(3v-9) + 5$
- Simplify
$w=\dfrac{1}{3}\cdot3v-\dfrac{1}{3}\cdot9 + 5$
$w=v-3 + 5$
$w=v+2$
Answer A
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